| Issue |
ESAIM: COCV
Volume 10, Number 4, October 2004
|
|
|---|---|---|
| Page(s) | 677 - 691 | |
| DOI | https://doi.org/10.1051/cocv:2004027 | |
| Published online | 15 October 2004 | |
Generic existence result for an eigenvalue problem with rapidly growing principal operator
Department of Mathematics and Statistics,
University of Missouri–Rolla, MO 65401, USA; vy@umr.edu.
Received:
3
April
2003
Revised:
7
April
2004
We consider the eigenvalue problem
in the case where the principal operator has rapid growth. By using a variational approach, we show that under
certain conditions, almost all λ > 0 are eigenvalues.
Mathematics Subject Classification: 35J65 / 35J20 / 35J60 / 47J30 / 49J40 / 58E05
Key words: Quasilinear elliptic equation / generic existence / variational inequality / rapidly growing operator.
© EDP Sciences, SMAI, 2004
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